λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,484,150
40,484,150
2 × 52 × 7 × 103 × 1123
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 103 × 1123
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 86,970,624
Proper Divisor Sum 46,486,474
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #40484149 ← → #40484153

Radix Representation

Decimal 40484150
Binary 10011010011011110100110110 (26 bits)
Octal 0o232336466
Hexadecimal 0x269BD36

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 70 103 175 206 350 515 721 1,030 1,123 1,442 2,246 2,575 3,605 5,150 5,615 7,210 7,861 11,230 15,722 18,025 28,075 36,050 39,305 56,150 78,610 115,669 196,525 231,338 393,050 578,345 809,683 1,156,690 1,619,366 2,891,725 4,048,415 5,783,450 8,096,830 20,242,075 40,484,150

Collatz Trajectory (253 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

40,484,150 20,242,075 60,726,226 30,363,113 91,089,340 45,544,670 22,772,335 68,317,006 34,158,503 102,475,510 51,237,755 153,713,266 76,856,633 230,569,900 115,284,950 57,642,475 172,927,426 86,463,713 259,391,140 129,695,570 64,847,785 194,543,356 97,271,678 48,635,839 145,907,518 72,953,759 218,861,278 109,430,639 328,291,918 164,145,959 492,437,878 246,218,939 738,656,818 369,328,409 1,107,985,228 553,992,614 276,996,307 830,988,922 415,494,461 1,246,483,384 623,241,692 311,620,846 155,810,423 467,431,270 233,715,635 701,146,906 350,573,453 1,051,720,360 525,860,180 262,930,090 131,465,045 394,395,136 197,197,568 98,598,784 49,299,392 24,649,696 12,324,848 6,162,424 3,081,212 1,540,606

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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